Least Common Multiple

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Find the *Least Common Multiple* (LCM) of the numbers 210 and 3024.

**Answer**

$210=(2)(3)(5)(7)$

$3024=({2}^{4})({3}^{3})(7)$

The LCM of 210 and 3024 is the product of the largest powers of each prime factor in both.

Thus the LCM of 210 and 3024

$=({2}^{4})({3}^{3})(5)(7)$

$=15120$